Francis Conyngham, 2nd Baron Conyngham
Burton was the eldest of two sons born to politician Francis Burton of County Clare by his wife, Mary (née Conyngham). His paternal grandfather, also named Francis Burton (1640–1714), sat in Irish parliament for Ennis from 1691–1714. Originally a branch of the Musards, Lords of Stavely, the Burton family settled in Richmond, Yorkshire after the Norman conquest. Sir Edward Burton (1442–1524), knighted by Edward IV in 1460 after the Second Battle of St Albans, settled in Longnor, Shropshire. His descendent Thomas Burton moved to Ireland in 1610.
On his maternal side, his great-grandfather was Lt.-Gen. Sir Albert Conyngham. His ancestors, Scottish Protestants whose name was spelt Cunningham, had come the Ireland during the Plantation of Ulster. His grandfather was Major General Henry Conyngham, who claimed significant lands in County Meath, including Slane Castle. Burton's uncle Henry Conyngham served in the Irish and British Parliaments. He was created Baron Conyngham of Mount Charles in 1753 and Viscount Conyngham in 1756. One 4 January 1781, he was further elevated as Earl Conyngham and additionally created Baron Conyngham, this time with a special remainder to his eldest nephew. All the titles were in the Peerage of Ireland.
Marriage and issue
On 19 March 1750, Burton married Elizabeth Clements, eldest daughter of Rt. Hon. Nathaniel Clements and younger sister of Robert Clements, 1st Earl of Leitrim. They had twin sons and three daughters.
- Henry Burton Conyngham, 1st Marquess Conyngham (1766–1832)
- Sir Francis Nathaniel Pierpoint Burton Conyngham (1766–1832), governor-general of Quebec, married Valentina Letitia Lawless, daughter of Nicholas Lawless, 1st Baron Cloncurry
- Hon. Catherine Burton, married 26 March 1785 to Rev. John Shirley Fermor
- Hon. Ellena Burton, married 11 December 1777 to Stewart Weldon
- Hon. Henrietta Burton (1765–1831), unmarried
The second baron died in 1787 and was succeeded by his eldest son, Henry, a politician and courtier who was elevated to Viscount Conyngham of Mount Charles in 1789. He was further elevated in 1816 to Marquess Conyngham, Earl of Mount Charles and Viscount Slane. In 1821, he was created Baron Minster of Minster Abbey in the Peerage of Great Britain.
- James Kelly, 'Conyngham, William Burton (1733–1796)', Oxford Dictionary of National Biography, Oxford University Press, Sept 2004
- Mosley, Charles, ed. (2003). Burke's Peerage, Baronetage & Knighthood (107 ed.). Burke's Peerage & Gentry. p. 879. ISBN 0-9711966-2-1.
- The Peerage of the United Kingdom of Great Britain & Ireland. 1809. p. 775. Retrieved 19 February 2018.
- The Norman People and Their Existing Descendants in the British Dominions and the United States of America. H.S. King & Company. 1874. pp. 180–181. Retrieved 19 February 2018.
- A. P. W. Malcomson, P203, The Pursuit of the Heiress: Aristocratic Marriage in Ireland 1740–1840, Ulster Historical Foundation, 2006
- Debrett, John (1836). Debrett's Peerage of England, Scotland, and Ireland. [Another]. p. 425. Retrieved 19 February 2018.
|Parliament of Ireland|
| Member of Parliament for Killybegs
With: Henry Gore
William Gerard Hamilton
Sir Edward O'Brien, 2nd Bt
| Member of Parliament for Clare
With: Sir Edward O'Brien, 2nd Bt 1761–1765
Charles MacDonnell 1765–1768
Sir Lucius O'Brien, 3rd Bt 1768–1776
Hugh Dillon Massy
|Peerage of Ireland|
| Baron Conyngham